On sets of orthogonal exponentials on the disk
Abstract
We show that if A is a set of mutually orthogonal exponentials with respect to the unit disk then |A [-R, R]2| R3/5+ holds. This improves the previous bound of R2/3 by Iosevich--Kolountzakis. The main new ingredient in the proof is a discretized version of Marstrand's slicing theorem.
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